The short answer is "yes", but it depends which shoes you're talking about.
As one gets older, shoe size tends to change. This can happen for a number of reasons. For instance, there might be an increase in girth around the waistline, or a shift of weight as knees become less able to carry as much weight on them. In general, however, one's foot will grow bigger while they are growing up, and then shrink down again when they reach their adult height. image source: www.zappos.com Normally, the sole of a shoe will shift to accommodate this change in size. The classic example of this is how one's big toe will expand as they grow up, and the other toes will be forced to shrink. image source: www.oppfrance.com If one's shoes are particularly tight in order for them to not become too uncomfortable as they get bigger, then it's possible that the ultimate length of their foot may not be optimal. image source: shoeguidepro.com As a result, the shoe might not fit right (or at all), and the wearer might end up with quite a bad foot-hurting problem. image ...